Answer:
86.5
Step-by-step explanation:
5 or higher round up
4 or lower round down
3 is lower than 4
Answer:
90.
Step-by-step explanation:
A tenth is 10,20,30,40,50 etc..
So if you have over 85 then it would be 90. But if you have like 84 then it would be 80.
Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
What is the predicted profit when the number of items made (x) is 2,500, and the number of stores stocking the product (x2) is 5, using the estimated regression equation y=550 + 30x1 + 9x2? a. 1,345 b. 23,200 c. 8,095 d. 75,595
Answer:
d. 75,595
Step-by-step explanation:
Given the estimated regression equation :
y=550 + 30x1 + 9x2
if number of items made (x) = 2500 ; number of stores stocking the product (x2) = 5
Predicted profit (y) will be :
Substitute the values x1 = 2500 and x2 = 5 into the estimated regression model:
y=550 + 30(2500) + 9(5)
y = 550 + 75000 + 45
y = 75595
Hence, the predicted profit will be 75,595
What is the volume of the triangular pyramid
The volume of the given triangular pyramid is 16740.768 cubic feet.
In the given triangular pyramid, dimensions of rectangular base are length=33.2 feet and width=19.1 feet.
Height of the triangular pyramid is 26.4 feet.
Formula to find the volume of the object is Volume = Area of a base × Height.
Here, volume = 33.2×19.1×26.4
= 16740.768 cubic feet
Therefore, the volume of the given triangular pyramid is 16740.768 cubic feet.
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Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour.
He was able to work 39 hours last week. How much money did he make that
week?
Answer:331.5
Step-by-step explanation:
Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,
Amount made by Joe = Amount paid per hour × Number of hours
= $8.50 per hour × 39 hours
= $331.5
Hence, the amount that is made by Joe last week is $331.5.
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Write an equation of the parabola that passes through the point (62,-490) and has x-intercept-8 and 72. Then find the average rate of change from x =-8 to x=2.
Part 1
The equation is \(y=a(x+8)(x-72)\).
Using the point \((62, -490)\) to solve for \(a\),
\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)
Part 2
When \(x=-8\), \(y=0\).
When \(x=2\), \(y=-490\).
So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)
5. A Gatorade recipe calls for 2 cups of mix for every 4 cups of water. If you
have 16 cups of water, how many cups of mix do you need?
A total of 8 cups of mix is needed for a Gatorade recipe calls for 2 cups of mix for every 4 cups of water if you have a total of 16 cups of water.
Unitary Method: What is it?The unitary technique in actuality involves first determining the actual value of a single unit, alongside followed by the value of the necessary number of units.
The unitary approach is a kind of a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
2 mix for 4 cups of water
⇒ 1 mix for 2 cups
⇒ for 1 cup = 1/2 mix
so for 16 cups = 8 mix
What is an example of a unitary method?A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit.
The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.
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You reach into a jar of money, and select a single bill at random to keep. There are 9 five-dollar bills,
6 ten-dollar bills, and 4 twenty-dollar bills in the jar.
What is the expected value for this game? $
How much should it cost to play this game in order for the game to be fair?
Answer:
The value of this game is $185
It would cost you $10 to play.
Step-by-step explanation:
rearrange the following numbers in order from greatest (top)to least (bottom) -1, 2, -2,-4
Answer:
2,-1,-2,-4
Step-by-step explanation:
A....
B....
C....
D....
Answer:
B
Step-by-step explanation:
whenever we add 1 to the number of team wins, the attendance number goes up by 15. that is a constant rate.
a constant percentage would change the absolute number of people attending every time.
e.g. let's say there were 100 people attending last time. and the audience increases by 10%. so, next time there are 100 + 10% = 100 + 10 = 110 people attending.
they win again, and the constant percentage of 10% would add now 10% of 110 people = 11 people.
and so on.
the linear function "attendance" would be for x as the number of team wins :
attendance(x) = 15x + c
with c being a starting number of people attending at the first game.
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
variable PlayCount. When creating the histogram, check the box that says Value above bar and also check the Mean box. Answer the
following questions about the histogram. Recall that
there are 1651 songs played.
1. What percent of songs were played over 100 times?
1% (round to the nearest whole integer)
2. What is the mean?
songs (round to the nearest whole integer)
3. What percent of songs were played less than 20 times?
% (round to the nearest whole integer)
The product of the frequency and PlayCount gives the number of songs
played from the information in the histogram.
Correct responses (rounded to the nearest whole integer)
1. 2%
2. 27 PlayCount per song
3. 68%
How does one analyze an histogram?1. The given data from the histogram is presented in a tabular form as follows;
\(\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]\)
The percentages of song that where played over 100 times is given as follows;
∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651
Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36
\(Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}\)2. Mean of a frequency distribution is given as follows;
\(Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}\)
Where;
x = The PlayCount
From MS Excel, we have;
∑f·x = 44410
Which gives;
\(Mean = \dfrac{44410}{1651} \approx \underline{27}\)3. Number of songs played less than 20 times = 899 + 224 = 1,123
\(\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}\)Learn more about percentages and histograms here:
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HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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1000-4+4-300X12-200+100+3366
Answer:666
Step-by-step explanation: PEMDAS(devils numbers lol)
Answer: Answer: Answer:
666
Are either of them correct?
(problem in photo)
Answer:
x = 6
Step-by-step explanation:
The formula of slope of a straight line passing through two given points (), and () is given by
As, the straight line passes through the points (x,-4) and (2,8) and has slope - 3.
So, we can write
⇒ 12 = 3x - 6
⇒ 3x = 18
⇒ x = 6 (Answer)
For data at the interval level you cannot calculate meaningful differences between data entries.
a. True
b. False
Answer: A. FALSE
Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels
Which improper fraction is equivalent to 17.8?
89/10
93/10
89/5
Answer:
17.8.
Step-by-step explanation:
89/5
= 17 4/5
= 17.8.
The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
We have to given that;
The number is,
⇒ 17.8
Now,
We can simplify the number as;
⇒ 17.8
⇒ 178 /10
⇒ 89 / 5
Therefore, The correct improper fraction which is equivalent to 17.8 is,
⇒ 17.8 = 89 / 5
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please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls
Answer:
In my sketch the angle between their flights is 135°
So wouldn't we just have the cosine law??
x^2 = 120^2 + 150^2 - 2(120)(150)cos135°
carry on, take care with the cos135, since it will be negative
Two of the angles in a triangle measure 177º and 2º. What is the measure of the third angle?
Answer:
1 degree
Step-by-step explanation:
The total measure of the angles of a triangle is 180 degrees
since you have two of the angles, subtract them from the total and you'll have the last remaining angle
180-177-2=1
Answer:
1
Step-by-step explanation:
177 + 2 = 179
180 -179=1
The initial population of a bacterial culture is 2000, growing at a fixed rate. Table shows the population every hour for six hours.
A. Find the equation that models this relation. (round to one decimal place).
B. Use the equation to find the population of bacteria after 12 hours after 24 hours.
Answer: A. To find the equation that models this relation, we can plot the data and look for a trend.
From the graph, we can see that the data follows an exponential growth pattern. The equation for exponential growth is:
y = ab^x
where y is the final population, a is the initial population, b is the growth rate, and x is the time in hours.
Using the data from the table, we can find the value of b:
b = y/x
where y is the population after x hours.
For example, after 2 hours, the population is 5000:
b = 5000/2 = 2500
We can repeat this process for each time period and find the average value of b:
b = (2500 + 3125 + 3906.25 + 4882.81 + 6103.51 + 7629.38) / 6 = 4275.5
Now that we have the value of b, we can find the equation that models the relation:
y = 2000(4275.5)^x
Rounding to one decimal place:
y = 2000(4.3)^x
B. Using the equation, we can find the population after 12 and 24 hours:
y = 2000(4.3)^12 ≈ 8,898,335.7
y = 2000(4.3)^24 ≈ 7.42 x 10^13
Step-by-step explanation:
Mrs.Johnson purchased five pizzas and cut each into eight pieces.Lee ate a fourth of the pizza.How many pieces are left.
Answer:
30
Step-by-step explanation:
5*8= 40, 40 slices
1/4 of 40 is 10,
40-10= 30, Lee eats 1/4 of the pizzas (10 pizzas)
SO, there are 30 pizza slices left.
Answer:
30
Step-by-step explanation:
if there is 5 pizza and 8 peices, you would do 5x8. You get 40. Lee ate 30 percent of it meaning this
if i compare 0.10__0.01 what would the answer be?
The answer will be 0. 10 > 0. 01 . Option B
How to compare the valuesGiven the values as;
0.100.01Turn the values into proper fractions
a. 0. 10 = 10/ 100
Reduce to simpler terms
= 10/ 100
= 1/ 10
b. 0. 01 = 1/ 100
a = 1/ 100
b = 1/ 100
This means that both decimals are not of equal proportion and thus a is greater than (>) b
Thus, the answer will be 0. 10 > 0. 01 . Option B
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Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
Ann traveled 165 miles on 5 gallons of gas
Step-by-step explanation:
First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.
A manufacturing firm just received a shipment of 48 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 40 parts in the shipment that would be suitable. He examines these parts one at a time.
a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.)
Probability b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.)
Probability c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.)
Probability
The probability that the first part is suitable is 0.83, and if the first part is suitable, the probability that the second part is also suitable is 0.8255, while the probability that the second part is not suitable is 0.1745.
a. The probability that the first part is suitable is 40/48 = 0.83.
b. If the first part is suitable, the probability that the second part is also suitable is 39/47 = 0.8255. This is because if the first part is suitable, that means there are only 39 parts left in the shipment that are suitable.
c. If the first part is suitable, the probability that the second part is not suitable is 8/47 = 0.1745. This is because if the first part is suitable, that means there are only 8 parts left in the shipment that are not suitable.
To calculate the probabilities, we used the formula P(A) = n(A)/n(S), where P(A) is the probability of event A, n(A) is the number of favorable outcomes, and n(S) is the total number of outcomes.
For part a, the event A is the first part being suitable, n(A) is 40, and n(S) is 48.
For part b, the event A is the second part being suitable, n(A) is 39, and n(S) is 47.
For part c, the event A is the second part not being suitable, n(A) is 8, and n(S) is 47.F
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Vanessa earns a monthly salary of $2,250 plus a commission of 13.15% on sales at the car dealership where she
works. How much would she earn in one month if she sold $35,200 worth of cars?
Answer:
6878.80
Step-by-step explanation:
2250 + (35200*13.15%)
2250+4628.80
6878.80
Answer: 6878.8
Step-by-step explanation:
AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)
from the graphs n f (x) and g( x) are 1 and 5 .
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How much ice cream will a family of 4 get if they equally share 1/2 of a gallon of ice cream?
A
18 of a gallon
B
14 of a gallon
C
2 gallons
D
8 gallons
Answer:
d 8 gallons
Step-by-step explanation:
all you have to do is divide 4 by 1/2 which would equal 8 so its d. Hope this helped
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
Answer:
Step-by-step explanation:
Answer: C) a=18
Step-by-step explanation: Hope i helped :)
OMG PLEASE I BEG I NEED HELP 5th grade math
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
What’s the area? Please help!!
9514 1404 393
Answer:
469 square yards
Step-by-step explanation:
The area of the triangle is ...
A = 1/2bh
A = 1/2(6+14+6)(21) = 273
The area of the square is ...
A = s^2 = 14^2 = 196
The total area of the figure is the sum of the parts.
273 +196 = 469 . . . square yards
4/8 + 1/4
A 5/12
B 3/4
C 6/8
D 2/8
Answer:
3/4
Step-by-step explanation:
4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.
This turns the equation into 2/4 + 1/4, giving you a common denominator.
Answer:
Both B & C answers are correct
Step-by-step explanation:
To solve these two fractions, 1st you have to make both the numerator and the denominator the same.
For that, you can multiply both the numerator and the denominator of 1/4 by 2.
\(\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}\)
To write the fraction in its simplest form, divide both sides by 2.
\(\sf\frac{3}{4}\)
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 QUESTION 1 [24] Gavin Pillay is employed at Maritzburg Engineering, a Steel manufacturing company in Pietermaritzburg. Below is a copy of his Payslip. 1. 3201 Company Maritzburg Engineering cc 21 Halsted Road Pietermaritzburg Employment No 105 Id Number Income Basic Salary Overtime M Gross Salary Maritzburg Engineering cc Employee Name Gavin Pillay Period 31/05/2023 Sex Male 790128514088 R8700 R1200 A Status Married Deductions PAYE UIF Total Deductions Net Pay 1200 87 B C Name the Employee? What does UIF stand for? Show by calculation that the UIF paid by Gavin is calculated correctly Which month is this Payslip for? Calculate the missing values A to C How old is Gavin this year? Give the address of Gavin's work place. Gavin would like to contribute towards a Pension fund (7,5% of his Basic Salary). H would this affect his net salary?
If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.
1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.
Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.
Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.
31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6
Total deductions of Gavin includes PAYE, UIF and pension fund contribution.
Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7
Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?
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